332123040 has 288 divisors, whose sum is σ = 1218672000. Its totient is φ = 82114560.

The previous prime is 332123023. The next prime is 332123041. The reversal of 332123040 is 40321233.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×332123040² = 220611427397683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (332123041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668861 + ... + 1669059.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2^332123040 is an apocalyptic number.

332123040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

332123040 is an abundant number, since it is smaller than the sum of its proper divisors (886548960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332123040 is a wasteful number, since it uses less digits than its factorization.

332123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332123040 is about 18224.2431941631. The cubic root of 332123040 is about 692.5210861265.

Adding to 332123040 its reverse (40321233), we get a palindrome (372444273).

The spelling of 332123040 in words is "three hundred thirty-two million, one hundred twenty-three thousand, forty".